• 제목/요약/키워드: T-Extension principle

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CARTIER OPERATORS ON COMPACT DISCRETE VALUATION RINGS AND APPLICATIONS

  • Jeong, Sangtae
    • 대한수학회지
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    • 제55권1호
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    • pp.101-129
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    • 2018
  • From an analytical perspective, we introduce a sequence of Cartier operators that act on the field of formal Laurent series in one variable with coefficients in a field of positive characteristic p. In this work, we discover the binomial inversion formula between Hasse derivatives and Cartier operators, implying that Cartier operators can play a prominent role in various objects of study in function field arithmetic, as a suitable substitute for higher derivatives. For an applicable object, the Wronskian criteria associated with Cartier operators are introduced. These results stem from a careful study of two types of Cartier operators on the power series ring ${\mathbf{F}}_q$[[T]] in one variable T over a finite field ${\mathbf{F}}_q$ of q elements. Accordingly, we show that two sequences of Cartier operators are an orthonormal basis of the space of continuous ${\mathbf{F}}_q$-linear functions on ${\mathbf{F}}_q$[[T]]. According to the digit principle, every continuous function on ${\mathbf{F}}_q$[[T]] is uniquely written in terms of a q-adic extension of Cartier operators, with a closed-form of expansion coefficients for each of the two cases. Moreover, the p-adic analogues of Cartier operators are discussed as orthonormal bases for the space of continuous functions on ${\mathbf{Z}}_p$.

한국 농정(農政)의 철학적 분석과 새로운 패러다임(paradigm)의 설계 (A Philosophical Analysis and Design of a New Paradigm of the Rural Policies in Korea)

  • 김선요
    • 농촌지도와개발
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    • 제3권1호
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    • pp.17-41
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    • 1996
  • In the situation of rapid industrialization based on the lopsided development of economy since 1960, Korean rural society has faced a crisis of disruption. As a result, the civilian government has tried a few actions to change the circumstance. However, it is said that the coral polices were not satisfactory. Those who were concerned with the rural problems of these days argue that it is necessary to adopt new policies and further to change the policymakers` philosophies concerning the matter. The arguments are certainly based on the beliefs that the sound policies come from the sound philosophies. This study aims to analyze the existing rural polices and their policymakers` philosophies and to design of a new paradigm. For the purpose, this study was set there specific objectives: First, to overview the moor points of Quantitative Utilitarianism of Jeremy Bentham and the Social Justice Theory of John Rawls, the contrasting frameworks of the moral philosophies; Second, to trace the major or trade of the rural policies since 1960s in Korea; Third, to analyze the policymakers` philosophies reflected on the rural policies; Fourth, to design a new paradigm of the rural policies. This study mainly adopted descriptive method based on the various source of government and non-government statistics, white papers and other researches. The major findings of this study may be summarized as follows: 1. The historical epochs of the rural policies in Korea was divided into the periods: (1) An organizational and institutional establishment for self-reliance of main crops and the New Village Movement $(1969{\sim}70)$; (2) An initiation of `open-door` policies to the foreign farm products $(1970{\sim}80)$; (3) Completion of the UR meetings and the recommendations of the Rural and Fishery Development Commission (1980-present). 2. It was found that the philosophical foundations of coral policies were directly reflected from the utilitarianism of the national development. Under the philosophy it was the modem sector of economy that was to spearhead the national development, and the rural sector was situated to the peripheral position and hardly in the spot-light. Therefore, it may be said that the present situation of the rural society was largely rooted in the model of economic development. 3. As a new direction of the coral policies, many studies were focussing on the NTC (non-trade concerns) functions of agriculture for the present and future society. The researchers argue that the cost of protecting and supporting agriculture and rural society may be higher than that of the burden which the nation should be bear in the case of failure of agriculture. Although it tray be true, however, it should be noted that the argument is another type of utilitarianism which prevailed in the past. As a philosophy of rural policies, utilitarianism is straight forward and persuasive, however, it has also limitations in terms of relativism in broad sense or social justice in specific manna. 4. This study suggests to set the philosophical foundations of rural policies on the basis of Rawl`s Theory of Justice mentioned earlier. It emphasizes the inviolability of social justice which was neglected for the national benefits timing the period of development dictatorship in 1960s and 1970s. The principles of social justice for coral people were identified as twofold; (1) The principle of the t equal liberty; (2) (a) Difference principle, (b) The principle of fair equality of opportunity.

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새로운 몸의 구조적 개념에 따른 공간의 관계성 변화에 관한 연구 (A Study on Changes in the Relationship of Spaces with a New Structural Concept of Body)

  • 이종세;김주연
    • 한국실내디자인학회논문집
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    • 제16권1호
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    • pp.48-55
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    • 2007
  • Proceedings in a new field of sciences and technologies like genetic engineering challenge to conventional concepts. It demonstrates a certain disappearance in conventional concepts that dominants our perceptions, such as organic, mechanical, and dichotomic concept of informative materials, and that is to be extended as a potential possibility. Then, what is a new space where our bodies that feel and cherish in their mind should live in these days as well as it makes senses by itself and should affect the principle that makes worlds? In addition, this study proposes a frame in the analysis in order to understand a section of modern designs with the question of 'what is the change in the relationship between relative structures in spaces and objects from a design point of view according to new structural concepts of body?' The major point of this analysis can be realized based on the assumption of the extension of the characteristics in the change of structural relationship in the aspect of post structuralism that includes non-structuralized relationship represented in modern philosophy, arts, and architectural works. Then, it can be accomplished as positive ideas in the foundation of space designs in future including the understand of 'new structural relationship' that can't be expressed as rationality and causal sequence by considering how the experiment conducted using several topics on body can be projected onto spaces through the process applied in the experiment.

통일 후 북한지역에서의 토지소유 및 이용에 관한 연구 (A Study on Land Ownership and Use in North Korea After Uification)

  • 최상철;이영성
    • 지역연구
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    • 제14권2호
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    • pp.1-33
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    • 1998
  • Whereas previous researches on land policy after unification dealt with principally the problem of land confiscation under the communist reign, this research tried to propose a scheme of long-term land reform which was based on case studies on ex-socialist societies' experiences during their transformation, analysis on North Korea's institution related to land ownership and use. To reform North Korea's land ownership and use by the principle of market economy, North Korean should accumulate their commencing asset necessary for private ownership of land and housing. Therefore much focus should be put on the accumulation of the commencing asset at the early state of unification. On the extension of that line, the government of the Unified Korea should try to solve the problem of land confiscation by the communist party and land privatization in the region of North Korea. For the purpose, gradual land reform is more desirable than rapid one according to the case studies on ex-socialist societies. The government should avoid policies than can result in serious fiscal burden. Active participation of local government is highly recommendable in land tax and development. On the direction of land policy, this research proposed a four step long-term scheme of land reformation in North Korea. However, later researches should put more Korea. However, later researches should put more emphasis to the unification of land institution of North and South Korea which this research couldn't deal with sufficiently.

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